1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OA2014
On the noncommutative geometry of tilings
Antoine Julien, Johannes Kellendonk, Jean Savinien
This is a chapter in an incoming book on aperiodic order. We review results about the topology, the dynamics, and the combinatorics of aperiodically ordered tilings obtained with t…
math.MG2014
A metric characterisation of repulsive tilings
J. Savinien
A tiling of is repulsive if no -patch can repeat arbitrarily close to itself, relative to . This is a characteristic property of aperiodic order, for a non rep…
math.GN2010★ 1 cited
Embedding of self-similar ultrametric Cantor sets
A. Julien, J. Savinien
We study self-similar ultrametric Cantor sets arising from stationary Bratteli diagrams. We prove that such a Cantor set C is bi-Lipschitz embeddable in R^(d+1), where d denotes th…